In Newton's Law of cooling, $\frac { d T } { d t } = k \left( T - T _ { m } \right) , T _ { m }$ is
A) the temperature of the object
B) the temperature of the environment
C) the initial temperature
D) the temperature after a specified period of time
E) none of the above

Question

Quizplus · Accepted Answer

In Newton's Law of cooling, $T_m$ represents the temperature of the environment. The law describes the rate of change of the temperature ($T$) of an object to be proportional to the difference between the object's temperature and the ambient temperature ($T_m$).

In Newton's Law of Cooling dTdt=k(T−Tm),Tm\frac { d T } { d t } = k \left( T - T _ { m } \right) , T _ { m }dtdT​=k(T−Tm​),Tm​

In Newton's Law of Cooling $\frac { d T } { d t } = k \left( T - T _ { m } \right) , T _ { m }$